All functions have an inverse expression.
- The cost function is: .
- The inverse function is:
From the question, we have the following observations:
- Base fare = 50000 pesos for first 100
- Additional guest = 100 pesos
So, the cost function would be:
Where: x represents the number of guests, and C(x) represents the cost function
Expand
Evaluate like terms
To calculate the inverse function, we have:
Replace C(x) with y
Swap x and y
Subtract 40000 from both sides
Divide both sides by 100
Rewrite as:
Split
Hence, the inverse function is:
Read more about functions and inverse at:
brainly.com/question/10300045
Answer:
x>10
Step-by-step explanation:
Think of this as an equation:
47-4x<7
Add 4x to both sides:
47<7+4x
Subtract 7 from both sides:
40<4x
Divide both sides by 4:
x>10
1/19 because the property
This problem involves data fitting. You do this by gathering statistics that represent your data plot points. Once you plot them in a graph, you create a trendline that fits to your data points. The equation of this trendline will be the model of the equation you're trying to formulate. This trendline is also the median line because it is placed between the points.
To solve this, you would need a software tool to be accurate which is important especially if you will be using the model equation. I used MS Excel for this. The linear equation of the median line is y = 0.3851x + 124.92. The R² is called the correlation coefficient. It tells you how good the fit is to your data points. The ideal value is 1. An R² value of 0.9098 is already a good fit. Hence, we use this equation to determine the cost when the distance is 1950 miles.
Cost = 0.3851(1950) + 124.92
Cost = $875.865